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Adams inequality with exact growth in the hyperbolic space ℍ4 and Lions lemma

Adams inequality with exact growth in the hyperbolic space ℍ4 and Lions lemma

In this paper, we prove Adams inequality with exact growth condition in the four-dimensional hyperbolic space [Formula: see text] [Formula: see text] [Formula: see text]. We will also establish an Adachi–Tanaka-type inequality in this setting. Another aspect of this paper is the Lions lemma in the hyperbolic space. We prove …